• A bivariate optimal replacement policy with cumulative repair cost limit under cumulative damage model

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    • Keywords


      Shock model; cumulative damage model; cumulative repair cost limit; preventive maintenance model.

    • Abstract


      In this paper, a bivariate replacement policy (n, T) for a cumulative shock damage process is presented that included the concept of cumulative repair cost limit. The arrival shocks can be divided into two kinds of shocks. Each type-I shock causes a random amount of damage and these damages are additive. When the total damage exceeds a failure level, the system goes into serious failure. Type-II shock causes the system into minor failure and such a failure can be corrected by minimal repair. When a minor failure occurs, the repaircost will be evaluated and minimal repair is executed if the accumulated repair cost is less than a predetermined limit L. The system is replaced at scheduled time T, at n-th minor failure, or at serious failure. The long-term expected cost per unit time is derived using the expected costs as the optimality criterion. The minimum-cost policy is derived, and existence and uniqueness of the optimal n* and T* are proved. This bivariate optimal replacement policy (n, T) is showed to be better than the optimal T* and the optimal n* policy.

    • Author Affiliations



      1. Department of Business Administration, Southern Taiwan University of Science and Technology, Tainan, Taiwan, R.O.C
      2. Department of Accounting Information, Southern Taiwan University of Science and Technology, Tainan, Taiwan, R.O.C
    • Dates

  • Sadhana | News

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